Finding the Third Proportional to 71,462 and 105,123

Step by Step Solution

1. Step 1: Write the proportion equation
   71,462 : 105,123 = 105,123 : x
2. Step 2: Convert to fraction form
   71,462/105,123 = 105,123/x
3. Step 3: Cross multiply
   71,462x = 105,123 × 105,123
4. Step 4: Simplify right side
   71,462x = 11,050,845,129
5. Step 5: Solve for x
   x = 11,050,845,129/71,462
6. Step 6: Final answer
   x = 154,639.46